Solution
Solution
+1
Decimal Notation
Solution steps
Rewrite using trig identities:
Use the basic trigonometric identity:
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
Add the numbers:
Rewrite using trig identities:
Rewrite using trig identities:
Write as
Use the Half Angle identity:
Rewrite using trig identities:
Use the following identity
Square both sides
Rewrite using trig identities:
Use the Double Angle identity
Switch sides
Add to both sides
Divide both sides by
Rewrite using trig identities:
Use the Double Angle identity
Switch sides
Add to both sides
Divide both sides by
Simplify
Substitute with
Simplify
Square root both sides
Choose the root sign according to the quadrant of :
Rewrite using trig identities:
Rewrite using trig identities:
Write as
Use the Angle Difference identity:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Multiply fractions:
Multiply the numbers:
Simplify
Apply radical rule:
Multiply the numbers:
Multiply fractions:
Multiply:
Multiply the numbers:
Apply rule
Simplify
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Distribute parentheses
Apply minus-plus rules
Divide fractions:
Cancel the common factor:
Simplify
Apply radical rule: assuming
Apply radical rule:
Apply exponent rule:
Multiply fractions:
Cancel the common factor:
Apply the fraction rule:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply:
Expand
Distribute parentheses
Apply minus-plus rules
Simplify
Add similar elements:
Add similar elements:
Multiply
Multiply fractions:
Apply radical rule:
Apply exponent rule:
Subtract the numbers:
Apply radical rule:
Apply the fraction rule:
Simplify
Apply radical rule:
Distribute parentheses
Apply minus-plus rules
Simplify
Add similar elements:
Add similar elements:
Add similar elements:
Multiply the numbers:
Apply radical rule:
Factor integer
Apply radical rule:
Apply radical rule:
Multiply the numbers:
Apply radical rule:
Subtract the numbers:
Apply radical rule:
Multiply the numbers:
Apply Perfect Square Formula:
Apply radical rule:
Factor out common term
Factor out common term
Cancel
Apply radical rule:
Apply exponent rule:
Subtract the numbers:
Apply radical rule:
Expand
Apply the distributive law:
Simplify
Factor integer
Apply radical rule:
Apply radical rule:
Apply radical rule:
Rationalize
Multiply by the conjugate
Apply FOIL method:
Simplify
Apply radical rule:
Multiply the numbers:
Multiply the numbers:
Multiply the numbers:
Add similar elements:
Add the numbers:
Apply Difference of Two Squares Formula:
Simplify
Apply rule
Apply radical rule:
Apply exponent rule:
Multiply fractions:
Cancel the common factor:
Subtract the numbers:
Cancel
Factor
Rewrite as
Factor out common term
Divide the numbers:
Popular Examples
Frequently Asked Questions (FAQ)
What is the value of tan(pi/(24))-cot(pi/(24)) ?
The value of tan(pi/(24))-cot(pi/(24)) is -2(2+sqrt(3))